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Finding the Third Proportional to 18,567.50 and 42,751.50

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Solution

The third proportional to 18,567.50 and 42,751.50 is: 98,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.50 : 42,751.50 = 42,751.50 : x
  2. Step 2: Convert to fraction form
    18,567.50/42,751.50 = 42,751.50/x
  3. Step 3: Cross multiply
    18,567.50x = 42,751.50 × 42,751.50
  4. Step 4: Simplify right side
    18,567.50x = 1,827,690,752.25
  5. Step 5: Solve for x
    x = 1,827,690,752.25/18,567.50
  6. Step 6: Final answer
    x = 98,434.94

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.